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    It is possible that A has no scratch, so it is possible t... — Carmelics
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    Home/Modality & Possibility
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    Challenges→A = B (the two spheres are identical), which is absurd given that one has a scratch and the other does not — therefore the Principle of Identity of Indiscernibles fails

    It is possible that A has no scratch, so it is possible that A and B are indiscernible

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    Modality & Possibility

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    A = B (the two spheres are identical), which is absurd given that one has a scra...

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    Related propositions within the same area of thought.
    But A ≠ B because A has a scratch and B does not — a contradiction
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    Sally is unaware of the quality that distinguishes Bill from Bill*, so...82%If the Principle of Identity of Indiscernibles holds of necessity, the...81%If two distinct objects are indiscernible, the Weak Principle of the I...81%Therefore C and D must be identical, contradicting the hypothesis that...80%

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    SEP: identity-indiscernible
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    Adams may be interpreted as providing two arguments, the first being the continuity argument used above. The second is a modal argument relying on the Necessity of Identity and a suitably strong modal logic. Suppose there are two objects that are distinguished by accidental features, as it might be one of the spheres, A has a scratch, while the other B does not. Then it is possible that A has no scratch and hence possible that the spheres be indiscernible. If the Principle holds of necessity the

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